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Finding the Third Proportional to 257,380 and 396,054

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Solution

The third proportional to 257,380 and 396,054 is: 609,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,380 : 396,054 = 396,054 : x
  2. Step 2: Convert to fraction form
    257,380/396,054 = 396,054/x
  3. Step 3: Cross multiply
    257,380x = 396,054 × 396,054
  4. Step 4: Simplify right side
    257,380x = 156,858,770,916
  5. Step 5: Solve for x
    x = 156,858,770,916/257,380
  6. Step 6: Final answer
    x = 609,444.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.